{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Finding a Pupil in an Image: *Scikit-Image (skimage)* <img src='data/images/logo.png' width=50 align='left'> \n",
    "\n",
    "author: Thomas Haslwanter\\\n",
    "date: June-2020"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "FindPupil demonstrates how *skimage* can be used to find the pupil in an image\n",
    "of the eye. \n",
    "To run, the file `eye.bmp` is required.\n",
    "\n",
    "The following steps are included:\n",
    "\n",
    "- Converting the image to grayscale\n",
    "- Calculating and showing the histogram\n",
    "- Interactively setting the threshold for b/w conversion\n",
    "- Filling holes\n",
    "- Opening the image\n",
    "- Fitting an edge to the pupil\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import standard modules\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy\n",
    "\n",
    "import os\n",
    "import io\n",
    "\n",
    "# Modules for reading in an image from the web\n",
    "from urllib.request import urlopen\n",
    "import PIL\n",
    "\n",
    "# Module for image processing\n",
    "import skimage\n",
    "from skimage import morphology"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get the data ## \n",
    "This is a bit complicated, because I have two options: locally, or from the Web"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "fromWeb = False\n",
    "if fromWeb:\n",
    "    url = 'http://work.thaslwanter.at/CSS/Code/0_5.bmp'\n",
    "    file = io.BytesIO(urlopen(url).read())        \n",
    "    data = np.array(PIL.Image.open(file))\n",
    "else:\n",
    "    data = plt.imread('data\\images\\eye.bmp')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Show image ##"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ca6ed9a760>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show images in graylevel\n",
    "plt.set_cmap('gray')\n",
    "plt.imshow(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate and show the histogram ##"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ca6ee59220>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "histo = np.histogram(data, bins=np.arange(0,256))\n",
    "\n",
    "# Note the number of data is one less than the number of box-edges for the histogram\n",
    "plt.plot(histo[1][:-1], histo[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Convert to black-and-white ##"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ca6ee7aa90>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# for convenience, I choose the threshold automatically\n",
    "bw = data>80\n",
    "\n",
    "plt.imshow(bw)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fill the holes ##"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ca6ef06b20>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "filled = np.invert(scipy.ndimage.binary_fill_holes(np.invert(bw)))\n",
    "\n",
    "plt.imshow(filled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ca6ef5fd00>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "se = morphology.disk(10)\n",
    "closed = morphology.closing(filled, se)\n",
    "\n",
    "plt.imshow(closed)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Find the edge ##"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ca6ff84d90>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "edges = skimage.filters.sobel(closed)\n",
    "\n",
    "plt.imshow(edges)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[5_ImgProc_Filters](5_ImgProc_Filters.ipynb)<img src=\"data\\images\\Forward_Backward.png\" align='middle'>[5_ImgProc_Example_OpenCV](5_ImgProc_Example_OpenCV.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
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   "nbconvert_exporter": "python",
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  "varInspector": {
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   "types_to_exclude": [
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